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math.AP2014★ 12 cited
Differential Equations Modeling Crowd Interactions
Raul Borsche, Rinaldo M. Colombo, Mauro Garavello +1
Nonlocal conservation laws are used to describe various realistic instances of crowd behaviors. First, a basic analytic framework is established through an "ad hoc" well posedness…
math.AP2014
Stability and Optimization in Structured Population Models on Graphs
Mauro Garavello, Rinaldo M. Colombo
We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial--boundary va…